8471096605440 has 2592 divisors, whose sum is σ = 39144451046400. Its totient is φ = 1724545105920.

The previous prime is 8471096605429. The next prime is 8471096605441. The reversal of 8471096605440 is 445066901748.

8471096605440 is a `hidden beast` number, since 8 + 4 + 7 + 1 + 0 + 96 + 6 + 0 + 544 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (8471096605441) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 9298678585 + ... + 9298679495.

Almost surely, 2^{8471096605440} is an apocalyptic number.

8471096605440 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8471096605440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19572225523200).

8471096605440 is an abundant number, since it is smaller than the sum of its proper divisors (30673354440960).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

8471096605440 is a wasteful number, since it uses less digits than its factorization.

8471096605440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1008 (or 964 counting only the distinct ones).

The product of its (nonzero) digits is 5806080, while the sum is 54.

The spelling of 8471096605440 in words is "eight trillion, four hundred seventy-one billion, ninety-six million, six hundred five thousand, four hundred forty".